I dont understand this question **Problem 49: Rotating Disks on a Common Axis**Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. - **Disk 1**: - Rotational inertia: \(3.30 \, \text{kg} \cdot \text{m}^2\) - Initial angular speed: 450 revolutions/minute - Direction: Counterclockwise- **Disk 2**: - Rotational inertia: \(6.60 \, \text{kg} \cdot \text{m}^2\) - Initial angular speed: 900 revolutions/minute - Direction: CounterclockwiseThey are then coupled together.**Questions:**(a) What is their angular speed after coupling?If instead the second disk is set spinning clockwise at 900 revolutions/minute:(b) What is their angular speed?(c) What is the direction of rotation after they couple together?There are no associated graphs or diagrams with this problem. The explanation provided describes the conditions and poses questions about the resulting system behavior using concepts of rotational inertia and angular momentum.

Moment of inertia of first disk (I1) = 3.3 kg m2Angular speed of first disk (ω1) = 450 rev/min , counterclockwiseMoment of inertia of second disk (I2) = 6.60 kg m2Angular speed of second disk (ω2) = 900 rev/min , counterclockwise A) Using the conservation of angular momentum : I1ω1 + I2ω2 = (I1+I2)ωf(3.3×450) + (6.6×900) = (3.3+6.6)×ωf1485 + 5940 = 9.9×ωf 750 revmin = ωf(angular speed after coupling) B)Now, ω2 = 900 rev/min , clockwise Using the conservation of angular momentum : I1ω1 + I2ω2 = (I1+I2)ωf(3.3×450) + (6.6×[-900]) = (3.3+6.6)×ωf1485 - 5940 = 9.9×ωf -450 revmin = ωf|ωf| = 450 revmin(angular speed after coupling)C) Direction of rotation after they couple together = clockwise

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49 Two disks are mounted (like a merry-go-round) on low- friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rota- tional inertia 3.30 kg m? about its.central axis, is set spinning coun- terclockwise at 450 rev/min. The second disk, with rotational inertia 6.60 kg m? about its central axis, is set spinning counterclockwise at 900 rev/min. They then couple together. (a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 900 rev/min, what are their (b) angular speed and (c) direction of rotation after they couple together?

49 Two disks are mounted (like a merry-go-round) on low- friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rota- tional inertia 3.30 kg m? about its.central axis, is set spinning coun- terclockwise at 450 rev/min. The second disk, with rotational inertia 6.60 kg m? about its central axis, is set spinning counterclockwise at 900 rev/min. They then couple together. (a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 900 rev/min, what are their (b) angular speed and (c) direction of rotation after they couple together?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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I dont understand this question

**Problem 49: Rotating Disks on a Common Axis**

Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit.

- **Disk 1**:
- Rotational inertia: \(3.30 \, \text{kg} \cdot \text{m}^2\)
- Initial angular speed: 450 revolutions/minute
- Direction: Counterclockwise

- **Disk 2**:
- Rotational inertia: \(6.60 \, \text{kg} \cdot \text{m}^2\)
- Initial angular speed: 900 revolutions/minute
- Direction: Counterclockwise

They are then coupled together.

**Questions:**
(a) What is their angular speed after coupling?

If instead the second disk is set spinning clockwise at 900 revolutions/minute:
(b) What is their angular speed?
(c) What is the direction of rotation after they couple together?

There are no associated graphs or diagrams with this problem. The explanation provided describes the conditions and poses questions about the resulting system behavior using concepts of rotational inertia and angular momentum.

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